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Finding the Third Proportional to 13,590 and 28,476

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Solution

The third proportional to 13,590 and 28,476 is: 59,667.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,590 : 28,476 = 28,476 : x
  2. Step 2: Convert to fraction form
    13,590/28,476 = 28,476/x
  3. Step 3: Cross multiply
    13,590x = 28,476 × 28,476
  4. Step 4: Simplify right side
    13,590x = 810,882,576
  5. Step 5: Solve for x
    x = 810,882,576/13,590
  6. Step 6: Final answer
    x = 59,667.59

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.